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Finding the Fourth Proportional to 912.31, 1,369.37 and 615.78

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Solution

The fourth proportional to 912.31, 1,369.37 and 615.78 is: 924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.31 : 1,369.37 = 615.78 : x
  2. Step 2: Convert to fraction form
    912.31/1,369.37 = 615.78/x
  3. Step 3: Cross multiply
    912.31x = 1,369.37 × 615.78
  4. Step 4: Simplify right side
    912.31x = 843,230.66
  5. Step 5: Solve for x
    x = 843,230.66/912.31
  6. Step 6: Final answer
    x = 924.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.